{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Regression Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from statsmodels.compat import lzip\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.formula.api import ols"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Duncan's Prestige Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load the Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use a utility function to load any R dataset available from the great <a href=\"https://vincentarelbundock.github.io/Rdatasets/\">Rdatasets package</a>."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "prestige = sm.datasets.get_rdataset(\"Duncan\", \"carData\", cache=True).data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>type</th>\n",
       "      <th>income</th>\n",
       "      <th>education</th>\n",
       "      <th>prestige</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>accountant</th>\n",
       "      <td>prof</td>\n",
       "      <td>62</td>\n",
       "      <td>86</td>\n",
       "      <td>82</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>pilot</th>\n",
       "      <td>prof</td>\n",
       "      <td>72</td>\n",
       "      <td>76</td>\n",
       "      <td>83</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>architect</th>\n",
       "      <td>prof</td>\n",
       "      <td>75</td>\n",
       "      <td>92</td>\n",
       "      <td>90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>author</th>\n",
       "      <td>prof</td>\n",
       "      <td>55</td>\n",
       "      <td>90</td>\n",
       "      <td>76</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chemist</th>\n",
       "      <td>prof</td>\n",
       "      <td>64</td>\n",
       "      <td>86</td>\n",
       "      <td>90</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            type  income  education  prestige\n",
       "accountant  prof      62         86        82\n",
       "pilot       prof      72         76        83\n",
       "architect   prof      75         92        90\n",
       "author      prof      55         90        76\n",
       "chemist     prof      64         86        90"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prestige.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "prestige_model = ols(\"prestige ~ income + education\", data=prestige).fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:               prestige   R-squared:                       0.828\n",
      "Model:                            OLS   Adj. R-squared:                  0.820\n",
      "Method:                 Least Squares   F-statistic:                     101.2\n",
      "Date:                Tue, 24 Dec 2019   Prob (F-statistic):           8.65e-17\n",
      "Time:                        15:02:38   Log-Likelihood:                -178.98\n",
      "No. Observations:                  45   AIC:                             364.0\n",
      "Df Residuals:                      42   BIC:                             369.4\n",
      "Df Model:                           2                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept     -6.0647      4.272     -1.420      0.163     -14.686       2.556\n",
      "income         0.5987      0.120      5.003      0.000       0.357       0.840\n",
      "education      0.5458      0.098      5.555      0.000       0.348       0.744\n",
      "==============================================================================\n",
      "Omnibus:                        1.279   Durbin-Watson:                   1.458\n",
      "Prob(Omnibus):                  0.528   Jarque-Bera (JB):                0.520\n",
      "Skew:                           0.155   Prob(JB):                        0.771\n",
      "Kurtosis:                       3.426   Cond. No.                         163.\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "print(prestige_model.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Influence plots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Influence plots show the (externally) studentized residuals vs. the leverage of each observation as measured by the hat matrix.\n",
    "\n",
    "Externally studentized residuals are residuals that are scaled by their standard deviation where \n",
    "\n",
    "$$var(\\hat{\\epsilon}_i)=\\hat{\\sigma}^2_i(1-h_{ii})$$\n",
    "\n",
    "with\n",
    "\n",
    "$$\\hat{\\sigma}^2_i=\\frac{1}{n - p - 1 \\;\\;}\\sum_{j}^{n}\\;\\;\\;\\forall \\;\\;\\; j \\neq i$$\n",
    "\n",
    "$n$ is the number of observations and $p$ is the number of regressors. $h_{ii}$ is the $i$-th diagonal element of the hat matrix\n",
    "\n",
    "$$H=X(X^{\\;\\prime}X)^{-1}X^{\\;\\prime}$$\n",
    "\n",
    "The influence of each point can be visualized by the criterion keyword argument. Options are Cook's distance and DFFITS, two measures of influence."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12,8))\n",
    "fig = sm.graphics.influence_plot(prestige_model, ax=ax, criterion=\"cooks\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see there are a few worrisome observations. Both contractor and reporter have low leverage but a large residual. <br />\n",
    "RR.engineer has small residual and large leverage. Conductor and minister have both high leverage and large residuals, and, <br />\n",
    "therefore, large influence."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Partial Regression Plots (Duncan)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since we are doing multivariate regressions, we cannot just look at individual bivariate plots to discern relationships. <br />\n",
    "Instead, we want to look at the relationship of the dependent variable and independent variables conditional on the other <br />\n",
    "independent variables. We can do this through using partial regression plots, otherwise known as added variable plots. <br />\n",
    "\n",
    "In a partial regression plot, to discern the relationship between the response variable and the $k$-th variable, we compute <br />\n",
    "the residuals by regressing the response variable versus the independent variables excluding $X_k$. We can denote this by <br />\n",
    "$X_{\\sim k}$. We then compute the residuals by regressing $X_k$ on $X_{\\sim k}$. The partial regression plot is the plot <br />\n",
    "of the former versus the latter residuals. <br />\n",
    "\n",
    "The notable points of this plot are that the fitted line has slope $\\beta_k$ and intercept zero. The residuals of this plot <br />\n",
    "are the same as those of the least squares fit of the original model with full $X$. You can discern the effects of the <br />\n",
    "individual data values on the estimation of a coefficient easily. If obs_labels is True, then these points are annotated <br />\n",
    "with their observation label. You can also see the violation of underlying assumptions such as homoskedasticity and <br />\n",
    "linearity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12,8))\n",
    "fig = sm.graphics.plot_partregress(\"prestige\", \"income\", [\"income\", \"education\"], data=prestige, ax=ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x1008 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fix, ax = plt.subplots(figsize=(12,14))\n",
    "fig = sm.graphics.plot_partregress(\"prestige\", \"income\", [\"education\"], data=prestige, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see the partial regression plot confirms the influence of conductor, minister, and RR.engineer on the partial relationship between income and prestige. The cases greatly decrease the effect of income on prestige. Dropping these cases confirms this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:               prestige   R-squared:                       0.876\n",
      "Model:                            OLS   Adj. R-squared:                  0.870\n",
      "Method:                 Least Squares   F-statistic:                     138.1\n",
      "Date:                Tue, 24 Dec 2019   Prob (F-statistic):           2.02e-18\n",
      "Time:                        15:02:42   Log-Likelihood:                -160.59\n",
      "No. Observations:                  42   AIC:                             327.2\n",
      "Df Residuals:                      39   BIC:                             332.4\n",
      "Df Model:                           2                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept     -6.3174      3.680     -1.717      0.094     -13.760       1.125\n",
      "income         0.9307      0.154      6.053      0.000       0.620       1.242\n",
      "education      0.2846      0.121      2.345      0.024       0.039       0.530\n",
      "==============================================================================\n",
      "Omnibus:                        3.811   Durbin-Watson:                   1.468\n",
      "Prob(Omnibus):                  0.149   Jarque-Bera (JB):                2.802\n",
      "Skew:                          -0.614   Prob(JB):                        0.246\n",
      "Kurtosis:                       3.303   Cond. No.                         158.\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "subset = ~prestige.index.isin([\"conductor\", \"RR.engineer\", \"minister\"])\n",
    "prestige_model2 = ols(\"prestige ~ income + education\", data=prestige, subset=subset).fit()\n",
    "print(prestige_model2.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For a quick check of all the regressors, you can use plot_partregress_grid. These plots will not label the <br />\n",
    "points, but you can use them to identify problems and then use plot_partregress to get more information."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "fig = sm.graphics.plot_partregress_grid(prestige_model, fig=fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Component-Component plus Residual (CCPR) Plots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The CCPR plot provides a way to judge the effect of one regressor on the <br />\n",
    "response variable by taking into account the effects of the other  <br />\n",
    "independent variables. The partial residuals plot is defined as  <br />\n",
    "$\\text{Residuals} + B_iX_i \\text{ }\\text{ }$   versus $X_i$. The component adds $B_iX_i$ versus  <br />\n",
    "$X_i$ to show where the fitted line would lie. Care should be taken if $X_i$  <br />\n",
    "is highly correlated with any of the other independent variables. If this  <br />\n",
    "is the case, the variance evident in the plot will be an underestimate of  <br />\n",
    "the true variance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig = sm.graphics.plot_ccpr(prestige_model, \"education\", ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see the relationship between the variation in prestige explained by education conditional on income seems to be linear, though you can see there are some observations that are exerting considerable influence on the relationship. We can quickly look at more than one variable by using plot_ccpr_grid."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 8))\n",
    "fig = sm.graphics.plot_ccpr_grid(prestige_model, fig=fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Single Variable Regression Diagnostics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plot_regress_exog function is a convenience function that gives a 2x2 plot containing the dependent variable and fitted values with confidence intervals vs. the independent variable chosen, the residuals of the model vs. the chosen independent variable, a partial regression plot, and a CCPR plot. This function can be used for quickly checking modeling assumptions with respect to a single regressor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "fig = sm.graphics.plot_regress_exog(prestige_model, \"education\", fig=fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fit Plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plot_fit function plots the fitted values versus a chosen independent variable. It includes prediction confidence intervals and optionally plots the true dependent variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "fig = sm.graphics.plot_fit(prestige_model, \"education\", ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Statewide Crime 2009 Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compare the following to http://www.ats.ucla.edu/stat/stata/webbooks/reg/chapter4/statareg_self_assessment_answers4.htm\n",
    "\n",
    "Though the data here is not the same as in that example. You could run that example by uncommenting the necessary cells below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#dta = pd.read_csv(\"http://www.stat.ufl.edu/~aa/social/csv_files/statewide-crime-2.csv\")\n",
    "#dta = dta.set_index(\"State\", inplace=True).dropna()\n",
    "#dta.rename(columns={\"VR\" : \"crime\",\n",
    "#                    \"MR\" : \"murder\",\n",
    "#                    \"M\"  : \"pctmetro\",\n",
    "#                    \"W\"  : \"pctwhite\",\n",
    "#                    \"H\"  : \"pcths\",\n",
    "#                    \"P\"  : \"poverty\",\n",
    "#                    \"S\"  : \"single\"\n",
    "#                    }, inplace=True)\n",
    "#\n",
    "#crime_model = ols(\"murder ~ pctmetro + poverty + pcths + single\", data=dta).fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "dta = sm.datasets.statecrime.load_pandas().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                 murder   R-squared:                       0.813\n",
      "Model:                            OLS   Adj. R-squared:                  0.797\n",
      "Method:                 Least Squares   F-statistic:                     50.08\n",
      "Date:                Tue, 24 Dec 2019   Prob (F-statistic):           3.42e-16\n",
      "Time:                        15:02:50   Log-Likelihood:                -95.050\n",
      "No. Observations:                  51   AIC:                             200.1\n",
      "Df Residuals:                      46   BIC:                             209.8\n",
      "Df Model:                           4                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept    -44.1024     12.086     -3.649      0.001     -68.430     -19.774\n",
      "urban          0.0109      0.015      0.707      0.483      -0.020       0.042\n",
      "poverty        0.4121      0.140      2.939      0.005       0.130       0.694\n",
      "hs_grad        0.3059      0.117      2.611      0.012       0.070       0.542\n",
      "single         0.6374      0.070      9.065      0.000       0.496       0.779\n",
      "==============================================================================\n",
      "Omnibus:                        1.618   Durbin-Watson:                   2.507\n",
      "Prob(Omnibus):                  0.445   Jarque-Bera (JB):                0.831\n",
      "Skew:                          -0.220   Prob(JB):                        0.660\n",
      "Kurtosis:                       3.445   Cond. No.                     5.80e+03\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
      "[2] The condition number is large, 5.8e+03. This might indicate that there are\n",
      "strong multicollinearity or other numerical problems.\n"
     ]
    }
   ],
   "source": [
    "crime_model = ols(\"murder ~ urban + poverty + hs_grad + single\", data=dta).fit()\n",
    "print(crime_model.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Partial Regression Plots (Crime Data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x576 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "fig = sm.graphics.plot_partregress_grid(crime_model, fig=fig)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12,8))\n",
    "fig = sm.graphics.plot_partregress(\"murder\", \"hs_grad\", [\"urban\", \"poverty\", \"single\"],  ax=ax, data=dta)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Leverage-Resid<sup>2</sup> Plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Closely related to the influence_plot is the leverage-resid<sup>2</sup> plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZlH3esv6pMcbG8iZ85Zv4Wb4hyVdz+TLhtUnuGmOc2+bt2MbEPb41yd/n8uXvZ5L8xRjj0u9h3Fe83/w5MLt35Y1jjC+87HuvT/Jkkn9J8me53L6Xdnyv/XzgyezutzuSfGd2uWpPa9iZ/VsO+7z/7PH+s8d9zB65fSLJP807QfVkMgBozM1bANCYUANAY0INAI0JNQA0JtQA0JhQA0Bj/weQZe3EQ8c0UwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8,6))\n",
    "fig = sm.graphics.plot_leverage_resid2(crime_model, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Influence Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8,6))\n",
    "fig = sm.graphics.influence_plot(crime_model, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using robust regression to correct for outliers."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Part of the problem here in recreating the Stata results is that M-estimators are not robust to leverage points. MM-estimators should do better with this examples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from statsmodels.formula.api import rlm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                    Robust linear Model Regression Results                    \n",
      "==============================================================================\n",
      "Dep. Variable:                 murder   No. Observations:                   51\n",
      "Model:                            RLM   Df Residuals:                       46\n",
      "Method:                          IRLS   Df Model:                            4\n",
      "Norm:                   TukeyBiweight                                         \n",
      "Scale Est.:                       mad                                         \n",
      "Cov Type:                          H1                                         \n",
      "Date:                Tue, 24 Dec 2019                                         \n",
      "Time:                        15:02:57                                         \n",
      "No. Iterations:                    50                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "Intercept     -4.2986      9.494     -0.453      0.651     -22.907      14.310\n",
      "urban          0.0029      0.012      0.241      0.809      -0.021       0.027\n",
      "poverty        0.2753      0.110      2.499      0.012       0.059       0.491\n",
      "hs_grad       -0.0302      0.092     -0.328      0.743      -0.211       0.150\n",
      "single         0.2902      0.055      5.253      0.000       0.182       0.398\n",
      "==============================================================================\n",
      "\n",
      "If the model instance has been used for another fit with different fit\n",
      "parameters, then the fit options might not be the correct ones anymore .\n"
     ]
    }
   ],
   "source": [
    "rob_crime_model = rlm(\"murder ~ urban + poverty + hs_grad + single\", data=dta, \n",
    "                      M=sm.robust.norms.TukeyBiweight(3)).fit(conv=\"weights\")\n",
    "print(rob_crime_model.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#rob_crime_model = rlm(\"murder ~ pctmetro + poverty + pcths + single\", data=dta, M=sm.robust.norms.TukeyBiweight()).fit(conv=\"weights\")\n",
    "#print(rob_crime_model.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is not yet an influence diagnostics method as part of RLM, but we can recreate them. (This depends on the status of [issue #888](https://github.com/statsmodels/statsmodels/issues/808))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "weights = rob_crime_model.weights\n",
    "idx = weights > 0\n",
    "X = rob_crime_model.model.exog[idx.values]\n",
    "ww = weights[idx] / weights[idx].mean()\n",
    "hat_matrix_diag = ww*(X*np.linalg.pinv(X).T).sum(1)\n",
    "resid = rob_crime_model.resid\n",
    "resid2 = resid**2\n",
    "resid2 /= resid2.sum()\n",
    "nobs = int(idx.sum())\n",
    "hm = hat_matrix_diag.mean()\n",
    "rm = resid2.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.graphics import utils\n",
    "fig, ax = plt.subplots(figsize=(12,8))\n",
    "ax.plot(resid2[idx], hat_matrix_diag, 'o')\n",
    "ax = utils.annotate_axes(range(nobs), labels=rob_crime_model.model.data.row_labels[idx], \n",
    "                    points=lzip(resid2[idx], hat_matrix_diag), offset_points=[(-5,5)]*nobs,\n",
    "                    size=\"large\", ax=ax)\n",
    "ax.set_xlabel(\"resid2\")\n",
    "ax.set_ylabel(\"leverage\")\n",
    "ylim = ax.get_ylim()\n",
    "ax.vlines(rm, *ylim)\n",
    "xlim = ax.get_xlim()\n",
    "ax.hlines(hm, *xlim)\n",
    "ax.margins(0,0)"
   ]
  }
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